a empty truck whose mass is 2000kg has a max acceleration of 1m/s2 what will bethe max acceleration when carries load of 1000kg
Answers
Answer:
force moving the truck = empty truck mass × max. acceleration
= 2,000 kg × 1 m/s²
= 2,000 N
That force is the maximum force truck can generate, so it will be the same when it has a load of 1,000 kg.
So,
2,000 N = mass with load × acceleration
2,000 N = (2,000 kg + 1,000 kg) × acceleration
2,000 N = 3,000 kg × acceleration
=> acceleration = 2,000 N / 3,000 kg
=> acceleration = 0.67 m/s²
Its maximum acceleration will be 0.67 m/s².
19,160
The maximum acceleration of the truck when it carries load of 1000 kg is 0.67 m/s².
An empty truck whose mass is 2000 kg has a max acceleration of 1 m/s².
We have to find the maximum acceleration when carries load of 1000 kg.
- Mass of truck, m₁ = 2000 kg
- Initial acceleration of truck, a₁ = 1 m/s²
- Mass of loaded truck, m₂ = 2000 kg + 1000 kg = 3000 kg
- acceleration of loaded truck = a₂
The force acting on the truck remains constant.
∴ m₁a₁ = m₂a₂
⇒ 2000 kg × 1 m/s² = 3000 kg × a₂
⇒ a₂ = 0.67 m/s²
Therefore the maximum acceleration when it carries load of 1000 kg is 0.67 m/s².
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